The equation a = a equals StartFraction 180 left-parenthesis n minus 2 right-parenthesis Over n EndFraction. Represents the angle measures, a, in a regular n-sided polygon. When the equation is solved for n, n is equal to a fraction with a denominator of a – 180. What is the numerator of the fraction?

Respuesta :

Answer:

-360

Step-by-step explanation:

The numerator of the equation a=180(n-2) is -360.

What is fraction?

Fraction is a combination of two numbers which together expresses a quantity. It is in the form like p/q where q is not equal to zero because if q equals zero the value of fraction becomes infinity.

How to find numerator?

We have been given equation as a=180(n-2)/n and we have to find the value of n.

Firstly we have to open brackets and after that the equation will be

a=180n-360/n

Now we have to find cross product.

an=180n-360

Collecting the terms we get:

an-180n=-360

We have to find factors now,

n(a-180)=-360

n=-360/(a-180)

Hence the numerator of the fraction is -360 and the denominator is

(a-180).

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